Answer:
a. height = 12
b. area = 228
Step-by-step explanation:
a. To find the height, we can use the triangle formed by the side that measures 15, the side that measures 9. and the height. The hypotenuse of the triangle(the longest side opposite of the right angle), is 15. We can then use the Pythagorean Theorem, which states that 
, where c is the hypotenuse, and a and b are the two other sides. In this case, we need to find a leg of the triangle, not the hypotenuse. What do we do? We can first call the height a, and rearrange the Theorem into 
. 
and 
=12. Therefore, the height of the parallelogram is 
b. To find the area of the parallelogram, we can use the area formula, which is Base*Height. The base is the flat side. We can find the base by adding 9+10=19, and 
Answer:
mean = 1.49
median = 1.53
Step-by-step explanation:
Using Excel, the procedure is the following
- Insert data set in a sheet. In my case I used cells A1 to AX1
- Compute mean with AVERAGE formula. In my case, AVERAGE(A1:AX1)
- Compute median with MEDIAN formula. In my case, MEDIAN(A1:AX1)
7.0 is an outlier because all data points are below 2.91
No of outcomes =16
favourable outcome=4
<span>probability of getting exactly 3 heads=0.25</span>
To solve this problem you must apply the proccedure shown below:
1. You have that the the <span>archway is modeled by the equation y=-2x^2+8x and the angle mentioned in the problem is defined by the equation x−2.23y+10.34=0.
</span>
2. Therefore, you must susbtitute y=-2x^2+8x into x−2.23y+10.34=0, as below:
x−2.23(-2x^2+8x)+10.34=0
3. When you apply the distributive property, you obtain:
x−2.23(-2x^2+8x)+10.34=0
x+4.46x^2-17.84x+10.34=0
4.46x^2-16.84x+10.34=0
4. When you solve the quadratic equation, you obtain:
x=3 units
Therefore, the answer is the option D: D. 3 units.
